1. To find how much cardboard he needs to paint you need to find the area of the cardboard which is length times width. So in this case, it would be 16 1/3 feet times 6 feet. Or 49/3 times 6/1. This gives you 294/3 or 98 feet.
2. To find this you would divide the total area by how much area each bottle covers to find how many bottles you need. 98 divided by 30 is 98/30 which reduces to 49/15 or 3 4/15. Since you can’t have 4/15 of a bottle, you’d round up to 5 bottles of paint.

6 0

3 years ago

Orbital Toys sells two types of sets of magnetic spheres, silver and brass. The store owner, Lucy Ball, pays $8 and $16 for each

sdas [7]

Answer:

The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

Step-by-step explanation:

In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".

So we know that x+y=2000

That's our first equation, our second would be the expense, which would be

8x+16y=20,000

We now just solve for one of them

x=(2000-y)

8(2000-y)+16y=20,000

16,000-8y+16y=20,000

8y=4,000

y=500

So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

5 0

3 years ago

Help asappppp? i’m having trouble on wat the 1/4 point is

blagie [28]

Answer:

(-14, 5.5)

Step-by-step explanation:

Perhaps the easiest way to find the 1/4 point is to find (x, y), then find the midpoint between that and M.

(x, y) = 2M -(13, 25) = 2(-5, 12) -(13, 25) = (-23, -1)

Then the 1/4 point is ...

((-23, -1) +M)/2 = ((-23, -1) +(-5, 12))/2 = (-28, 11)/2 = (-14, 5.5)

_____

If we call the end points A(x, y) and B(13, 25), then we know ...

M = (A+B)/2

A = 2M -B . . . . we'll need this in a bit

and the 1/4 point Q is such that ...

(Q -A)/(B -A) = 1/4

4Q -4A = B -A . . . . cross multipliy

Q = (B +3A)/4 = (B +3(2M -B))/4 = (6M -2B)/4 . . . . solve for Q

Q = (3M -B)/2 . . . . reduce the fractions

Q = (3(-5, 12) -(13, 25))/2 = (-28, 11)/2 = (-14, 5.5) . . . as above

6 0

3 years ago

Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 14 -8 8 -14

trasher [3.6K]

Answer:

Step-by-step explanation:

55 divide 5 = 11

11 + 3 = 15

5 × 11 = 55

3 0

3 years ago